M. Lissia

Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics

A consistent generalization of statistical mechanics is obtained by applying the maximum entropy principle to a trace-form entropy and by requiring that physically motivated mathematical properties are preserved. The emerging differential-functional equation yields a two-parameter class of generalized logarithms, from which entropies and power-law distributions follow: these distributions could be relevant in many anomalous systems. Within the specified range of parameters, these entropies possess positivity, continuity, symmetry, expansibility, decisivity, maximality, concavity, and are Lesche stable. The Boltzmann-Shannon entropy and some one-parameter generalized entropies already known belong to this class. These entropies and their distribution functions are compared, and the corresponding deformed algebras are discussed.

Antineutrinos from Earth: A reference model and its uncertainties

We predict geoneutrino fluxes in a reference model based on a detailed description of Earths crust and mantle and using the best available information on the abundances of uranium, thorium, and potassium inside Earths layers. We estimate the uncertainties of fluxes corresponding to the uncertainties of the element abundances. In addition to distance integrated fluxes, we also provide the differential fluxes as a function of distance from several sites of experimental interest. Event yields at several locations are estimated and their dependence on the neutrino oscillation parameters is discussed. At Kamioka we predict

Deformed logarithms and entropies

N(\mathrm{U}+\mathrm{Th})=35\ifmmode\pm\else\textpm\fi{}6

Solar neutrinos: Beyond standard solar models

events for

Geo-neutrinos and earth's interior

{10}^{32}\mathrm{proton}\mathrm{yr}

Anomalous diffusion modifies solar neutrino fluxes

and 100% efficiency assuming

Neutrinos from the sun: Experimental results confronted with solar models

{\mathrm{sin}}^{2}(2\ensuremath{\theta})=0.863

Future solar neutrino spectroscopy and neutrino properties

and

Hadron structure in lattice QCD (I). Correlation functions and wave functions

\ensuremath{\delta}{m}^{2}=7.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}{\mathrm{eV}}^{2}.

LAST HOPE for an astrophysical solution to the solar neutrino problem

The maximal prediction is 55 events, obtained in a model with fully radiogenic production of the terrestrial heat flow.